Ratios and Proportions in Context

The video tutorial compares the size of a T-Rex and a Blue Whale using ratios, explaining unit ratios and scale factors. It demonstrates how to calculate and interpret these ratios, including reverse unit ratios. The tutorial also applies these concepts to practical examples, such as adjusting recipe quantities, and explores an alternative method for solving ratio problems using algebra.

What is the weight ratio of a blue whale to a T-Rex?

• 200 to 7

• 100 to 1

• 7 to 200

• 1 to 100

How do you calculate a unit ratio?

• By subtracting one side of the ratio from the other

• By multiplying both sides of the ratio

• By adding both sides of the ratio

• By dividing one side of the ratio by itself

What does a unit ratio of 28.57 to 1 indicate about the size of a blue whale compared to a T-Rex?

• A blue whale is 28.57 times smaller than a T-Rex

• A blue whale is 28.57 times larger than a T-Rex

• A T-Rex is 28.57 times larger than a blue whale

• A T-Rex is 28.57 times smaller than a blue whale

What percentage of a blue whale's size is a T-Rex?

• 35%

• 0.35%

• 0.035%

• 3.5%

What is a scale factor?

• A number used to divide one object by another

• A number used to multiply one object to get another

• A number used to subtract one object from another

• A number used to add one object to another

If the scale factor is 28.57, what does it mean in the context of a T-Rex and a blue whale?

• The T-Rex is 28.57 times larger than the blue whale

• The blue whale is 28.57 times smaller than the T-Rex

• The blue whale is 28.57 times larger than the T-Rex

• The T-Rex is 28.57 times smaller than the blue whale

In a recipe with a flour to sugar ratio of 4:1, how much flour is needed if 5 cups of sugar are used?

• 25 cups

• 20 cups

• 15 cups

• 10 cups

What is the alternative method to solve the flour and sugar ratio problem?

• Using multiplication

• Using algebra and fractions

• Using subtraction

• Using addition

If 7 cups of flour are used, how much sugar is needed according to the ratio 4:1?

• 2 cups

• 4 cups

• 1.75 cups

• 3 cups

How can the result of 7/4 cups of sugar be expressed?

• As a decimal: 1.75

• As a percentage: 75%

• As a fraction: 3/4

• As a whole number: 2